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Finding the Fourth Proportional to 459.63, 688.74 and 343.53

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Solution

The fourth proportional to 459.63, 688.74 and 343.53 is: 514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 688.74 = 343.53 : x
  2. Step 2: Convert to fraction form
    459.63/688.74 = 343.53/x
  3. Step 3: Cross multiply
    459.63x = 688.74 × 343.53
  4. Step 4: Simplify right side
    459.63x = 236,602.85
  5. Step 5: Solve for x
    x = 236,602.85/459.63
  6. Step 6: Final answer
    x = 514.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.